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TECHNICAL PAPERS

A Ground Resistance for Vertical Bore Heat Exchangers With Groundwater Flow

[+] Author and Article Information
Matthew G. Sutton, Darin W. Nutter, Rick J. Couvillion

University of Arkansas, Department of Mechanical Engineering, Fayetteville, AR 72701

J. Energy Resour. Technol 125(3), 183-189 (Aug 29, 2003) (7 pages) doi:10.1115/1.1591203 History: Received February 01, 2002; Revised December 01, 2002; Online August 29, 2003
Copyright © 2003 by ASME
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References

Figures

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Complete single bore resistance analogy
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The angular symmetry of a conduction-only ground resistance. The outer circle shows the shape of an isotherm for this particular groundwater flow scenario (Pe=0). The inner circle is merely representative of a borehole. (Pe=0indicates conduction only.)
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The lack of angular symmetry for the convection ground resistance. The outer ellipse shows the shape of an isotherm for this particular groundwater flow scenario (Pe=2.0). The inner circle is merely representative of a borehole.
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Natural log of the Fourier time constant versus Peclet number. The dashed line is the curve-fit (with R2=0.9999) calculated according to Eq. 21
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Dimensionless temperature, θ̄, (i.e., ground response) versus Fourier number for both a convective line heat source (Pe=9.16, dashed line) and a conduction-only line heat source (solid line). Note: the maximum Fourier number corresponds to 20 years.
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Dimensionless temperature, θ̄, (i.e., ground response) versus Fourier number for both a convective line heat source (Pe=0.23, dashed line) and a conduction-only line heat source (solid line). Note: the maximum Fourier number corresponds to 20 years.
Grahic Jump Location
Dimensionless temperature, θ̄, (i.e., ground response) versus Fourier number for both a convective line heat source (Pe=0.086, dashed line) and a conduction-only line heat source. Note: the maximum Fourier number corresponds to 20 years.
Grahic Jump Location
Dimensionless temperature, θ̄, (i.e., ground response) versus Fourier number for both a convective line heat source (Pe=2.65E−5) and a conduction-only line heat source. Because of the small Peclet number, the two lines coincide. Note: the maximum Fourier number corresponds to 20 years.

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